interest rates are 5 percent. If interest rates rise by 2 percent (to 7 percent), what is this bank’s
change in net worth?
A) Net worth will decrease by $50.47 million
B) Net worth will increase by $50.47 million
C) Net worth will decrease by $240.95 million
D) Net worth will increase by $240.95 million
E) Net worth will not change at all
112. A bank has an average asset duration of 5 years and an average liability duration of 9 years. This
bank has total assets of $1000 million and total liabilities of $850 million. Currently, market
interest rates are 5 percent. If interest rates rise by 2 percent (to 7 percent), what is this bank’s
duration gap?
A) –4 years
B) 4 years
C) 2.65 years
D) –2.65 years
E) 12.65 years
113. A bank has $100 million of investment grade bonds with a duration of 9.0 years. This bank also
has $500 million of commercial loans with a duration of 5.0 years. This bank has $300 million of
consumer loans with a duration of 2.0 years. This bank has deposits of $600 million with a
duration of 1.0 years and nondeposit borrowings of $100 million with an average duration of .25
years. What is this bank’s duration gap? These are all of the assets and liabilities this bank has.
A) This bank has a duration gap of 14.75 years
B) This bank has a duration gap of 15.03 years
C) This bank has a duration gap of 3.55 years
D) This bank has a duration gap of 3.75 years
E) This bank has a duration gap of 5.15 years
114. Which of the following statements is true concerning a bank’s duration gap?
A) If a bank has a positive duration gap and interest rates rise, the bank’s net worth will decline
B) A bank with a positive duration gap has a longer average duration for its assets than for its
liabilities
C) If a bank has a zero duration gap and interest rates rise, the bank’s net worth will not change
D) If a bank has a negative duration gap and interest rates rise, the bank’s net worth will increase
E) All of the above are true statements
115. A bank has an average duration for its asset portfolio of 5.5 years. This bank has total assets of
$1000 million and total liabilities of $750 million. If this bank has a zero duration gap, what must
the duration of its liabilities portfolio be?
A) 7.33 years